What is the limit as x approaches 0 of (2x)/(x-1) ?

The limit as x approaches 0 of (2x)/(x-1) is 0

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limit as x approaches 0 of (2x)/(x-1)

x \to 0 lim (\frac{2 x}{x - 1})

0

Solution steps

x \to 0 lim (\frac{2 x}{x - 1})

Plug in the value

x = 0

= \frac{2 \cdot 0}{0 - 1}

Simplify

\frac{2 \cdot 0}{0 - 1} : 0

= 0

x \to \infty lim (3 + \frac{8}{x})

x \to 0 + lim (x^{2} cot (4 x^{2}))

x \to 2 lim (3 x^{2} + 3 x + 1)

x \to 0 + lim (ln (cos (x)))

x \to 2 + lim (\frac{x ^{2} - 5 x + 6}{x ^{2} - 7 x + 12})

What is the limit as x approaches 0 of (2x)/(x-1) ?
The limit as x approaches 0 of (2x)/(x-1) is 0